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Finding the Fourth Proportional to 1,231.39, 1,699.95 and 900.51

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Solution

The fourth proportional to 1,231.39, 1,699.95 and 900.51 is: 1,243.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,231.39 : 1,699.95 = 900.51 : x
  2. Step 2: Convert to fraction form
    1,231.39/1,699.95 = 900.51/x
  3. Step 3: Cross multiply
    1,231.39x = 1,699.95 × 900.51
  4. Step 4: Simplify right side
    1,231.39x = 1,530,821.97
  5. Step 5: Solve for x
    x = 1,530,821.97/1,231.39
  6. Step 6: Final answer
    x = 1,243.17

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.